$M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points
From MaRDI portal
Publication:3469390
DOI10.1137/0520048zbMath0694.34013OpenAlexW2004748520MaRDI QIDQ3469390
Publication date: 1989
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0520048
Hamilton's equations (70H05) Weyl theory and its generalizations for ordinary differential equations (34B20) Green's functions for ordinary differential equations (34B27) Linear boundary value problems for ordinary differential equations (34B05) Ordinary differential operators (34L99)
Related Items (40)
Principal Solutions Revisited ⋮ Self‐adjoint extensions for singular linear Hamiltonian systems ⋮ Weyl–Titchmarsh $M$-Function Asymptotics, Local Uniqueness Results, Trace Formulas, and Borg-type Theorems for Dirac Operators ⋮ Renormalized oscillation theory for singular linear Hamiltonian systems ⋮ Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ The Glazman--Krein--Naimark theory for a class of discrete Hamiltonian systems ⋮ Renormalized oscillation theory for Hamiltonian systems ⋮ On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ Direct decomposition of m(λ) matrices for hamiltonian systems ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line ⋮ Spectral analysis of selfadjoint elliptic differential operators, Dirichlet-to-Neumann maps, and abstract Weyl functions ⋮ Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra ⋮ The local Borg–Marchenko uniqueness theorem of matrix‐valued Dirac‐type operators for coefficients locally smooth at the right endpoint ⋮ Dependence of eigenvalues of Dirac system on the parameters ⋮ Singular Hahn - Hamiltonian systems ⋮ Investigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrix ⋮ Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems ⋮ The symmetry of singular Hamiltonian differenial operators and properties of deficiency indices ⋮ A new Hamiltonian system ⋮ A limit-point criterion for linear hamiltonian systems ⋮ Self-adjoint extensions for discrete linear Hamiltonian systems ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ On essential spectra of singular linear Hamiltonian systems ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems ⋮ Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients ⋮ Weyl-Titchmarsh theory for Hamiltonian dynamic systems ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ On characteristic matrices and eigenfunction expansions of two singular point symmetric systems ⋮ Sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients ⋮ Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems ⋮ Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints ⋮ Regular approximation of linear Hamiltonian operators with two singular endpoints ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ On couplings of symmetric operators with possibly unequal and infinite deficiency indices ⋮ Classification of Sturm–Liouville differential equations with complex coefficients and operator realizations ⋮ Spectral analysis of the Direct Sum Hamiltonian Operators ⋮ Invariance of deficiency indices under perturbation for discrete Hamiltonian systems ⋮ Absolutely continuous spectrum of fourth order difference equations
This page was built for publication: $M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points